A root-finding algorithm with fifth order derivatives

Mathematical and Computational Applications

Volumn 13, Issue 2, 2008, Pages 123-128

  Pakdemirli, M ^a   Boyaci, H ^a   Yurtsever, H A ^b  

^a CELAL BAYAR UNIVERSITY   (Turkey)

^b GEORGETOWN UNIVERSITY   (United States)

Author keywords

Perturbation theory; Root finding algorithms

Indexed keywords

PERTURBATION TECHNIQUES; PROBLEM SOLVING;

PERTURBATION THEORY; ROOT FINDING ALGORITHMS;

ALGORITHMS;

EID: 39549104068     PISSN: 1300686X     EISSN: None     Source Type: Journal    
DOI: 10.3390/mca13020123     Document Type: Article

References (6)

1. A. H. Nayfeh, Introduction to Perturbation Techniques, John Wiley and Sons, New York, 1981.
2. E. J. Hinch, Perturbation Methods, Cambridge University Press, New York, 1991.
3. A. S. Householder, The Numerical Treatment of a Single Nonlinear Equation, McGraw-Hill, New York, 1970.
4. M. Pakdemirli, and H. Boyaci, Generation of root finding algorithms via perturbation theory and some formulas, Applied Mathematics and Computation 184, 783-788, 2007.
5. S. Abbasbandy, Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method, Applied Mathematics and Computation 145, 887-893, 2003.
6. M. Pakdemirli, H. Boyaci, and H. A. Yurtsever, Perturbative derivation and comparison of root-finding algorithms with fourth order derivatives, Mathematical and Computational Applications 12, 117-124, 2007.